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UGP/GTE Lean formalization

Authors: Spivack, Nova;

UGP/GTE Lean formalization

Abstract

Lean 4 software archive for the UGP Physics / GTE program: Lean Ugp. This Zenodo record bundles a pinned Git snapshot of the formalization (303 modules, zero sorry on all load-bearing theorems, zero custom axioms on core path). Graduated from ugp-lean-exp on 2026-05-30 (52 new modules since v2026-05-27). All core modules zero sorry; named axioms: rcc_physics_ax, rule110_simulates_computable, simultaneous_dual_tape_ax. Exact file scope and revision policy appear in the repository manifest shipped with the archive. EPIC_083D completions (June 2026): FKTT eta_B baryon asymmetry CatAL (6.109e-10, +0.15 sigma FKTT); pion mass m_pi = 139.57 MeV CatAL (GOR+condensate, -0.001% from PDG); all three PMNS mixing angles closed CatAD (sin^2 theta_12=4/13, sin^2 theta_23=19/42, sin theta_13=11/73); m_tau structural prediction v_H/(98*sqrt(2)) disclosed (-2.42 sigma). Round 083B CatAL theorems: phimdl_potential_su2l_invariant (SU(2)_L weak force, zero named axioms — all four forces CatAL); mdl_tower_bundle; particles_computation_spacetime_trinity (PCT Trinity); gte_polynomial_five_roles_k_extra_zero (Single-Source Principle); psc_enumeration_forces_ngen_3 (exhaustive 34,560-universe PSC scan, native_decide); incompleteness_implies_nonzero_omega_lambda (PSC→Omega_Lambda > 0). Total: 303 modules, Graduation Rounds 81+82+83+083D. Cite using the Zenodo DOI after publication.

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